Coupled Hilfer fractional differential systems with random effects

DOI10.1186/S13662-018-1832-3zbMath1448.34143OpenAlexW2898022745WikidataQ129156863 ScholiaQ129156863MaRDI QIDQ1713799

Saïd Abbas, Yong Zhou, Mouffak Benchohra

Publication date: 30 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1832-3

zbMATH Keywords

fixed pointfunctional-differential equationcoupled systemleft-sided mixed Riemann-Liouville integral of fractional orderrandom solutionHilfer fractional derivativehilfer-Hadamard fractional derivativeleft-sided mixed Hadamard integral of fractional order

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fractional derivatives and integrals (26A33) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

On some coupled systems of fractional differential inclusions ⋮ Coupled systems of \(\psi\)-Caputo differential equations with initial conditions in Banach spaces ⋮ Successive approximations for random coupled Hilfer fractional differential systems ⋮ Coupled fractional differential systems with random effects in Banach spaces ⋮ Coupled Hilfer and Hadamard random fractional differential systems with finite delay in generalized Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controllability for fractional evolution inclusions without compactness
• A survey on impulsive fractional differential equations
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Topics in fractional differential equations
• On a differential equation involving Hilfer-Hadamard fractional derivative
• Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Random differential inequalities
• Random integral equations
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Coupled systems of Hilfer fractional differential inclusions in Banach spaces
• A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
• Identities involving harmonic and hyperharmonic numbers
• Attractivity for fractional evolution equations with almost sectorial operators
• Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
• Center stable manifold for planar fractional damped equations
• Random integral equations with applications to life sciences and engineering
• Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative
• Existence of nonoscillatory solutions for fractional neutral differential equations
• A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions
• On fractional Cauchy-type problems containing Hilfer's derivative
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity
• On coupled Hadamard type sequential fractional differential equations with variable coefficients and nonlocal integral boundary conditions

This page was built for publication: Coupled Hilfer fractional differential systems with random effects